Lesson: Properties of Addition and Multiplication in Numerical Expressions

In this lesson, we will learn how to identify the properties of addition and multiplication in numerical expression and how to apply these concepts in real-life situations.

Sample Question Videos

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Worksheet: Properties of Addition and Multiplication in Numerical Expressions • 13 Questions • 2 Videos

Q1:

Identify the property demonstrated by the following equation: 4 × ( 1 4 + 9 ) = 4 × 1 4 + 4 × 9 .

Q2:

Does the associative property apply to subtraction?

Q3:

Does the commutative property apply to division?

Q4:

Does the commutative property apply to subtraction?

Q5:

What property of addition does the diagram illustrate?

Q6:

What property of addition does this diagram show?

Q7:

Sarah and her roommate, Farida, have decided to share a change jar for joint expenses. Sarah put her loose change in the jar first, and then Farida put her change in the jar. We know that it does not matter in which order the change was added to the jar. What property of addition describes this fact?

Q8:

Samar is working on memorizing her multiplication facts. She noticed that when she multiplies a number by 1, she gets the same number she started with. What is the name of this property?

Q9:

If 𝑎 × 𝑏 = 𝑎 and 𝑎 0 , what is the value of 𝑏 ?

Q10:

Does the distributive property apply to multiplication over subtraction? I.e. does ?

Q11:

A vehicle traveled at a speed of 86 miles per hour for one hour. The distance it traveled can be represented as 8 6 × 1 = 8 6 . What property of the real numbers was used in solving this expression?

Q12:

Is ( 1 0 0 2 8 4 ) 2 4 7 = 1 0 0 ( 2 8 4 2 4 7 ) o r ?

Q13:

Adel knows that you can multiply three numbers in any order.

So, these two multiplication expressions are equal.

Does this work when dividing? Are these two division expressions equal?

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